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122,480

122,480 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

122,480 (one hundred twenty-two thousand four hundred eighty) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 5 × 1,531. Its proper divisors sum to 162,472, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE70.

Abundant Number Evil Number Gapful Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
84,221
Recamán's sequence
a(30,012) = 122,480
Square (n²)
15,001,350,400
Cube (n³)
1,837,365,396,992,000
Divisor count
20
σ(n) — sum of divisors
284,952
φ(n) — Euler's totient
48,960
Sum of prime factors
1,544

Primality

Prime factorization: 2 4 × 5 × 1531

Nearest primes: 122,477 (−3) · 122,489 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 40 · 80 · 1531 · 3062 · 6124 · 7655 · 12248 · 15310 · 24496 · 30620 · 61240 (half) · 122480
Aliquot sum (sum of proper divisors): 162,472
Factor pairs (a × b = 122,480)
1 × 122480
2 × 61240
4 × 30620
5 × 24496
8 × 15310
10 × 12248
16 × 7655
20 × 6124
40 × 3062
80 × 1531
First multiples
122,480 · 244,960 (double) · 367,440 · 489,920 · 612,400 · 734,880 · 857,360 · 979,840 · 1,102,320 · 1,224,800

Sums & aliquot sequence

As consecutive integers: 24,494 + 24,495 + 24,496 + 24,497 + 24,498 3,812 + 3,813 + … + 3,843 686 + 687 + … + 845
Aliquot sequence: 122,480 162,472 155,768 136,312 142,688 210,112 282,140 310,396 240,756 321,036 453,108 623,212 472,988 354,748 271,724 203,800 270,500 — unresolved within range

Continued fraction of √n

√122,480 = [349; (1, 33, 1, 698)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand four hundred eighty
Ordinal
122480th
Binary
11101111001110000
Octal
357160
Hexadecimal
0x1DE70
Base64
Ad5w
One's complement
4,294,844,815 (32-bit)
Scientific notation
1.2248 × 10⁵
As a duration
122,480 s = 1 day, 10 hours, 1 minute, 20 seconds
In other bases
ternary (3) 20020000022
quaternary (4) 131321300
quinary (5) 12404410
senary (6) 2343012
septenary (7) 1020041
nonary (9) 206008
undecimal (11) 84026
duodecimal (12) 5aa68
tridecimal (13) 43997
tetradecimal (14) 328c8
pentadecimal (15) 26455

As an angle

122,480° = 340 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκβυπʹ
Mayan (base 20)
𝋯·𝋦·𝋤·𝋠
Chinese
一十二萬二千四百八十
Chinese (financial)
壹拾貳萬貳仟肆佰捌拾
In other modern scripts
Eastern Arabic ١٢٢٤٨٠ Devanagari १२२४८० Bengali ১২২৪৮০ Tamil ௧௨௨௪௮௦ Thai ๑๒๒๔๘๐ Tibetan ༡༢༢༤༨༠ Khmer ១២២៤៨០ Lao ໑໒໒໔໘໐ Burmese ၁၂၂၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122480, here are decompositions:

  • 3 + 122477 = 122480
  • 31 + 122449 = 122480
  • 37 + 122443 = 122480
  • 79 + 122401 = 122480
  • 157 + 122323 = 122480
  • 181 + 122299 = 122480
  • 229 + 122251 = 122480
  • 271 + 122209 = 122480

Showing the first eight; more decompositions exist.

Hex color
#01DE70
RGB(1, 222, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.112.

Address
0.1.222.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.112

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 122,480 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.